What is the sum of the first six terms of the series?
\( 48−12+3−0.75+\)
This is a geometric series with r = (-1/4)
The sum is given by
48 [ 1 - (-1/4)^6 ] / [ 1 - (-1/4) ] =
48 [ 1 - (-1/4)^6] / [ 5/4] =
48 (4/5) [ 1 - (-1/4)^6 ] =
2457 / 64 =
38.390625